All Outputs (131)

Laurent inversion (2019)
Journal Article
Coates, T., Kasprzyk, A., & Prince, T. (2019). Laurent inversion. Pure and Applied Mathematics Quarterly, 15(4), 1135–1179. https://doi.org/10.4310/PAMQ.2019.v15.n4.a5

We describe a practical and effective method for reconstructing the deformation class of a Fano manifold X from a Laurent polynomial f that corresponds to X under Mirror Symmetry. We explore connections to nef partitions, the smoothing of singular to... Read More about Laurent inversion.

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article
Laugwitz, R., & Miemietz, V. (2020). Cell 2-Representations and Categorification at Prime Roots of Unity. Advances in Mathematics, 361, https://doi.org/10.1016/j.aim.2019.106937

Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2- categories, enriched with a p-differential, which satisfy finiteness conditions analogous to those of fini... Read More about Cell 2-Representations and Categorification at Prime Roots of Unity.

The dynamics of quasiregular maps of punctured space (2019)
Journal Article
Nicks, D., & Sixsmith, D. J. (2019). The dynamics of quasiregular maps of punctured space. Indiana University Mathematics Journal, 68(1), 323-352. https://doi.org/10.1512/iumj.2019.68.7556

The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been extended to quasiregular maps in more than two real dimensions. Our goal in this paper is similar; we extend the iteration theory of analytic self-maps... Read More about The dynamics of quasiregular maps of punctured space.

Cheeger-Simons differential characters with compact support and Pontryagin duality (2019)
Journal Article
Becker, C., Benini, M., Schenkel, A., & Szabo, R. J. (2019). Cheeger-Simons differential characters with compact support and Pontryagin duality. Communications in Analysis and Geometry, 27(7), 1473–1522

By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact... Read More about Cheeger-Simons differential characters with compact support and Pontryagin duality.

Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries (2019)
Journal Article
Radjen, A., Gradoni, G., & Tew, R. (2019). Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries. IMA Journal of Applied Mathematics, 84(6), 1203-1219. https://doi.org/10.1093/imamat/hxz029

Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in... Read More about Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries.

Additive twists and a conjecture by Mazur, Rubin and Stein (2019)
Journal Article
Diamantis, N., Hoffstein, J., Kıral, M., & Lee, M. (2020). Additive twists and a conjecture by Mazur, Rubin and Stein. Journal of Number Theory, 209, 1-36. https://doi.org/10.1016/j.jnt.2019.11.016

In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with... Read More about Additive twists and a conjecture by Mazur, Rubin and Stein.

Rapid characterisation of hERG channel kinetics II: temperature dependence (2019)
Journal Article
Lei, C. L., Clerx, M., Beattie, K. A., Melgari, D., Hancox, J. C., Gavaghan, D. J., …Mirams, G. R. (2019). Rapid characterisation of hERG channel kinetics II: temperature dependence. Biophysical Journal, 117(12), 2455-2470. https://doi.org/10.1101/609719

Ion channel behavior can depend strongly on temperature, with faster kinetics at physiological temperatures leading to considerable changes in currents relative to room temperature. These temperature-dependent changes in voltage-dependent ion channel... Read More about Rapid characterisation of hERG channel kinetics II: temperature dependence.

Invariance and identifiability issues for word embeddings (2019)
Conference Proceeding
Carrington, R., Bharath, K., & Preston, S. (2019). Invariance and identifiability issues for word embeddings. In Advances in Neural Information Processing Systems 32 (NIPS 2019)

Word embeddings are commonly obtained as optimisers of a criterion function f of 1 a text corpus, but assessed on word-task performance using a different evaluation 2 function g of the test data. We contend that a possible source of disparity in 3 pe... Read More about Invariance and identifiability issues for word embeddings.

Survival dynamical systems: individual-level survival analysis from population-level epidemic models (2019)
Journal Article
KhudaBukhsh, W. R., Choi, B., Kenah, E., & Rempa?a, G. A. (2020). Survival dynamical systems: individual-level survival analysis from population-level epidemic models. Interface Focus, 10(1), Article 20190048. https://doi.org/10.1098/rsfs.2019.0048

In this paper, we show that solutions to ordinary differential equations describing the large-population limits of Markovian stochastic epidemic models can be interpreted as survival or cumulative hazard functions when analysing data on individuals s... Read More about Survival dynamical systems: individual-level survival analysis from population-level epidemic models.

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article
Soldatos, K. P., Aydogdu, M., & Gul, U. (2019). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures, 14(4), 497-535. https://doi.org/10.2140/jomms.2019.14.497

This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of... Read More about Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures.

Pair-based likelihood approximations for stochastic epidemic models (2019)
Journal Article
Stockdale, J. E., Kypraios, T., & O'Neill, P. D. (2021). Pair-based likelihood approximations for stochastic epidemic models. Biostatistics, 22(3), 575-597. https://doi.org/10.1093/biostatistics/kxz053

Fitting stochastic epidemic models to data is a non-standard problem because data on the infection processes defined in such models are rarely observed directly. This in turn means that the likelihood of the observed data is intractable in the sense... Read More about Pair-based likelihood approximations for stochastic epidemic models.

Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China (2019)
Journal Article
Cong, W., Zhang, N., Hu, R., Zou, F., Zou, Y., Zhong, W., …Elsheikha, H. M. (2020). Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China. Ecotoxicology and Environmental Safety, 189, Article 109999. https://doi.org/10.1016/j.ecoenv.2019.109999

Copyright © 2019 Elsevier Inc. All rights reserved. In the present study, we performed a cross-sectional survey to determine the occurrence and genotype distribution of T. gondii DNA in soil samples collected from different sources from six geographi... Read More about Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China.

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies (2019)
Journal Article
Tonon, P., Tonin, M. G., Espath, L. F., & Braun, A. L. (2020). A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies. Latin American Journal of Solids and Structures, 17(1), Article e242. https://doi.org/10.1590/1679-78255772

A numerical investigation is performed here using a NURBS-based finite element formulation applied to classical Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems. Model capabilities related to refinement techniques are... Read More about A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies.

Linear Yang–Mills Theory as a Homotopy AQFT (2019)
Journal Article
Benini, M., Bruinsma, S., & Schenkel, A. (2019). Linear Yang–Mills Theory as a Homotopy AQFT. Communications in Mathematical Physics, 378, 185–218. https://doi.org/10.1007/s00220-019-03640-z

It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein–Gordon and linear Yang–Mills theory on globally hyperbolic Lorentzian manifolds admits retarded/advanced trivializations (analogs of retarded/advanced Gr... Read More about Linear Yang–Mills Theory as a Homotopy AQFT.

A max-cut approximation using a graph based MBO scheme (2019)
Journal Article
Keetch, B., & van Gennip, Y. (2019). A max-cut approximation using a graph based MBO scheme. Discrete and Continuous Dynamical Systems - Series B, 24(11), 6091-6139. https://doi.org/10.3934/dcdsb.2019132

© 2019 American Institute of Mathematical Sciences. All rights reserved. The Max-Cut problem is a well known combinatorial optimization problem. In this paper we describe a fast approximation method. Given a graph G, we want to find a cut whose size... Read More about A max-cut approximation using a graph based MBO scheme.

Principal nested shape space analysis of molecular dynamics data (2019)
Journal Article
Dryden, I. L., Kim, K., Laughton, C. A., & Le, H. (2019). Principal nested shape space analysis of molecular dynamics data. Annals of Applied Statistics, 13(4), 2213-2234. https://doi.org/10.1214/19-AOAS1277

Molecular dynamics simulations produce huge datasets of temporal sequences of molecules. It is of interest to summarize the shape evolution of the molecules in a succinct, low-dimensional representation. However, Euclidean techniques such as principa... Read More about Principal nested shape space analysis of molecular dynamics data.

Next-generation neural mass and field modeling (2019)
Journal Article
Byrne, Á., O’Dea, R. D., Coombes, S., Forrester, M., & Ross, J. (2020). Next-generation neural mass and field modeling. Journal of Neurophysiology, 123(2), 726-742. https://doi.org/10.1152/jn.00406.2019

The Wilson-Cowan population model of neural activity has greatly influenced our understanding of the mechanisms for the generation of brain rhythms and the emergence of structured brain activity. As well as the many insights that have been obtained f... Read More about Next-generation neural mass and field modeling.

How a nonassociative algebra reflects the properties of a skew polynomial (2019)
Journal Article
Brown, C., & Pumpluen, S. (2021). How a nonassociative algebra reflects the properties of a skew polynomial. Glasgow Mathematical Journal, 63(1), 6-26. https://doi.org/10.1017/S0017089519000478

Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation. For each f D[t, σ, δ] of degree m > 1 with a unit as leading coefficient, there exists a unital nonassoci... Read More about How a nonassociative algebra reflects the properties of a skew polynomial.

Tail expectile process and risk assessment (2019)
Journal Article
Daouia, A., Girard, S., & Stupfler, G. (2020). Tail expectile process and risk assessment. Bernoulli, 26(1), 531-556. https://doi.org/10.3150/19-BEJ1137

Expectiles define a least squares analogue of quantiles. They are determined by tail expectations rather than tail probabilities. For this reason and many other theoretical and practical merits, expectiles have recently received a lot of attention, e... Read More about Tail expectile process and risk assessment.

Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics (2019)
Journal Article
Anwar, M., & Graham, R. S. (2019). Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics. Journal of Polymer Science Part B: Polymer Physics, 57(24), 1692-1704. https://doi.org/10.1002/polb.24904

This work aims to improve the use of Molecular Dynamics simulations of Kremer-Grest chains to inform future developments of models of entangled polymer dynamics. We perform non-equilibrium molecular dynamics simulations, under shear flow, for well en... Read More about Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics.